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1/x+2=2/x-1 identify all values of X that make the equation true

User Modika
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2 Answers

5 votes
X= 5 because use pedmas
User Koen Weyn
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4.8k points
4 votes

9514 1404 393

Answer:

as written: x = 1/3

as maybe intended: x = -5

Explanation:

As written

(1/x) +2 = (2/x) -1

3 = 1/x . . . . . . . . . add 1-(1/x)

x = 1/3

__

As maybe intended

1/(x +2) = 2/(x -1)

x -1 = 2(x +2) . . . . . . . multiply by (x+2)(x-1)

x -1 = 2x +4 . . . . . . . . eliminate parentheses

-5 = x . . . . . . . . . . . . . subtract (x+4)

User Jake Conway
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5.3k points